A trihybrid cross involve three pair of characters which will give rise to the `"F"_(1)` hybrids which are heterozygous for three genes. How many types of gametes will be produced in both male and female?

Options

A. 2
B. 4
C. 5
D. 8

Answer

To solve the problem of how many types of gametes will be produced in both male and female in a trihybrid cross, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Trihybrid Cross**:
- A trihybrid cross involves three pairs of alleles. For example, let's denote these alleles as A, B, and C, where each pair has two alleles (dominant and recessive).

2. **Identify the Number of Alleles**:
- In a trihybrid cross, we have three genes. Therefore, we have three pairs of alleles: (A/a), (B/b), and (C/c).

3. **Using the Formula for Gamete Calculation**:
- The number of different types of gametes that can be produced by an organism is given by the formula:
\[ \text{Number of gametes} = 2^n \]
where \( n \) is the number of heterozygous gene pairs.

4. **Calculate the Number of Gametes**:
- In this case, since we have three pairs of alleles (A/a, B/b, C/c), we have:
\[ n = 3 \]
- Plugging this into the formula gives:
\[ \text{Number of gametes} = 2^3 = 8 \]

5. **Conclusion for Male and Female**:
- Both the male and female will produce the same number of gametes. Therefore, both will produce 8 types of gametes.

### Final Answer:
Both male and female will produce **8 types of gametes**.

---